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If x > 0 and y < 0, what is the value of x + y?

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aparnaharish
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If x > 0 and y < 0, what is the value of x + y? [#permalink] New post  07 Sep 2013, 05:00
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If x > 0 and y < 0, what is the value of x + y?

(1) |x| = |y|

(2) x^2 = y^2
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Re: If x > 0 and y < 0, what is the value of x + y? [#permalink] New post  07 Sep 2013, 05:03
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aparnaharish wrote:
If x > 0 and y < 0, what is the value of x + y?

(1) |x| = |y|

(2) x^2 = y^2


We know that x>0 and y<0. Thus, \(x\neq{y}\) \(\to (x-y)\neq{0}\)

From F.S 1, square on both sides : \(x^2 = y^2 \to (x+y)(x-y)=0\). Thus, x+y =0.Sufficient.
F.S 2 is exactly the same as above. Sufficient.

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Re: If x > 0 and y < 0, what is the value of x + y? [#permalink] New post  07 Sep 2013, 05:12
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If x > 0 and y < 0, what is the value of x + y?

(1) |x| = |y|. Since x > 0 and y < 0, then |x| = x and |y|=-y --> x = -y --> x + y = 0. Sufficient.

(2) x^2 = y^2 --> |x| = |y|. The same here. Sufficient.

Answer: D.
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Re: If x > 0 and y < 0, what is the value of x + y? [#permalink] New post  21 Jan 2023, 21:13
If x > 0 and y < 0, what is the value of x + y?

Stem- Both X and Y are of opposite signs


(1) |x| = |y| this statement tells us that both X and Y are equal in magnitude but according to question stem they are opposite in signs hence X+Y=0

(2) x^2 = y^2 this statements again tells us that both X and Y are equal in magnitude but according to question stem they are opposite in signs hence X+Y=0

Answer is D
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Re: If x > 0 and y < 0, what is the value of x + y? [#permalink]
21 Jan 2023, 21:13
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